Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 555, 973, 570 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 973, 570 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 555, 973, 570 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 555, 973, 570 is 1.
HCF(555, 973, 570) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 973, 570 is 1.
Step 1: Since 973 > 555, we apply the division lemma to 973 and 555, to get
973 = 555 x 1 + 418
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 418 and 555, to get
555 = 418 x 1 + 137
Step 3: We consider the new divisor 418 and the new remainder 137, and apply the division lemma to get
418 = 137 x 3 + 7
We consider the new divisor 137 and the new remainder 7,and apply the division lemma to get
137 = 7 x 19 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 555 and 973 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(137,7) = HCF(418,137) = HCF(555,418) = HCF(973,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 570 > 1, we apply the division lemma to 570 and 1, to get
570 = 1 x 570 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 570 is 1
Notice that 1 = HCF(570,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 555, 973, 570?
Answer: HCF of 555, 973, 570 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 973, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 973, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.